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30 April, 12:16

Two masses are joined by a massless string. A 30-N force applied vertically to the upper mass gives the system a constant [Ans : 490 N] [Ans : 1.3 * 10-23 m] [Ans : 19 cm] [Ans : 1.96 ms-2 ] [Ans : 680 m] upward acceleration of 3.2 m / s 2. If the string tension is 18 N, what are the two masses?

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  1. 30 April, 14:07
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    12/13 kg, 18/13 kg

    Explanation:

    Let the masses are m and m'.

    acceleration, a = 3.2 m/s^2

    Force, F = 30 N

    Tension, T = 18 N

    By the diagram, using Newton's second law

    F - T - m'g = m' a ... (1)

    T - mg = ma ... (2)

    Substitute the values of F, T and a in equation (1) and equation (2)

    30 - 18 = m' (9.8 + 3.2)

    12 = 13 m'

    m' = 12 / 13 kg

    And, 18 = m (9.8 + 3.2)

    m = 18/13 kg
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